Some special vector fields on a cosymplectic manifold admitting a Ricci soliton

[摘要] In this paper, we deal with the geometric properties of cosymplectic manifold. We give some classifications for a cosymplectic manifold endowed with some special vector fields, such as contact, concircular, recurrent, torse-forming and some characterizations for such a manifold admitting a Ricci soliton given as to be Einstein, $\eta-$Einstein, almost quasi-Einstein and nearly quasi-Einstein.

[学科分类] 数学（综合）

[关键词] Einstein manifold;cosymplectic manifold;Ricci soliton;torse-forming vector field;torqued vector field